OTRNet Newsletter 40
 
Hi and welcome to our June newsletter.
 
As term two comes to an end it's time to think about holidays (and what is happening in our classrooms during second semester). 
 
 
Have an enjoyable break, I hope that you will find something that helps your teaching in this month's newsletter.
 
 
Regards,
 
Mark
 
 

In this newsletter there is information on:
 
1.    The Latest on the Integrated Maths Modules and Special Offer #9
 
2.    Internet Resources
 
3.    Learning & Teaching With The Modules - Part  4 - Cooperative Learning
 
4.    Puzzle #3
 
5.    Upcoming PD from the Associations
 
 

 
1.    The Latest on the Integrated Maths Modules & Special Offer #9
 
 
The final three modules in the series: Periodic Functions, Quadratic Functions 2 and Matrices are currently being completed.
 
Thirty four integrated maths modules are now published and samples from all these modules are available from our website via the page linked to here: http://www.otrnet.com.au/IntegratedMathsModules/module_samples.html
 
You can check availability of all modules at this page of our web site:  http://www.otrnet.com.au/IntegratedMathsModules/Integrated_Maths_Modules_Listing.html
 
 
 
2.  Internet Resources
 
Two more Internet sites that may provide you with direct support for your lessons, or with the opportunity to enhance your ability to teach mathematics. 
 
Content: The Diamond 16 Puzzle
Online puzzle illustrating principles of symmetry and permutation groups. Solve the puzzle and make a variety of symmetric designs along the way. A link to related theory is provided.
You can find this site at: http://m759.freeservers.com/puzzle.html
 
Pedagogy: Multiple Intelligences Power Up Math(s) Teaching
Mark Wahl from the US looks at how aspects of Howard Gardner's Multiple Intelligences theory can impact the way we teach mathematics.
You can find this site at: http://www.newhorizons.org/strategies/mi/wahl.htm
 
 
 
3.    Learning & Teaching With The Modules - Part 4 - Cooperative Learning
 
 
The Integrated Maths Modules provide the opportunity for students to work cooperatively - what does this mean and how does it work?
 
Because of the student centred nature of the modules the learning environment is suited to grouping students in threes or fours and allowing them to work cooperatively or independently as the need arises.  This provides the opportunity for discussion and peer mentoring to take place between students which improves understanding and the development of appropriate language.  In a teacher centred classroom it can be difficult to allow students to work together and move freely between independent and cooperative work, as this can interrupt the teacher's control of the lesson.
 
The five key elements of effective cooperative learning and how we can facilitate these are:
  • Positive interdependence - make the common goal that of all group members learning as much as possible from their time together - reinforce the benefits of this happening and demonstrate how they can make it work for them.
  • Individual accountability - all members must complete all tasks and develop their own understandings - ensure that students check their understandings with other group members as they proceed.
  • Face to face interaction - by sitting students in groups you are providing them the opportunity to work with other students in learning.
  • Social skills - although it is natural for humans to learn in a social environment the skills required to do this effectively must be taught.  Take on this responsibility, hopefully with the rest of the school, to teach students how to work in groups - taking turns, encouraging, checking understanding etc.
  • Processing - reflect on the progress and achievement of the group as a whole - reward groups functioning well and demonstrate the value of working together.
In mathematics there are not too many opportunities for collaboration with students taking on roles such as recorder etc.  Other aspects of Cooperative Learning are also not totally suited to our learning environment and content.  However, it is important for us to take from what is known about Cooperative Learning, the parts that suit our teaching and learning.  It is this adaptation of aspects of modern learning theory to our mathematics classroom, by mathematics teachers, that will ensure the learning environment we create maximises student learning.
 
Some hints about setting up groups from what I have experienced and read are:
  • Set up groups of three or four for maximum benefit
  • Choose group members yourself to optimise the learning
  • Reform your groups about every five weeks based on what you have seen
  • Teach students the "group skills" necessary for this to succeed
The best resource I have found on Cooperative Learning is "Where Heart Meets Mind" by Bennett, Rolheiser and Stevahn.  It is available from the State School Teachers Union of WA at this link:
 
You can read more on Cooperative Learning from the Education Consumer Guide website by following this link:
 
Further articles and information on Cooperative Learning are available via this page of our website:
 
I hope this provides more background on the modules learning philosophy.  In the next newsletter I will discuss some aspects of assessment in the series "Learning & Teaching with the Modules".  Feel free to email me to discuss this further if you wish: mailto:markrobrien@otrnet.com.au
 
The PowerPoint presentation "Focusing On Learning in the Classroom" that includes reference to how these principles underlie the classroom structure can be viewed from our website at this location:
 
 
 
4.    Puzzle #3 (A free resource for readers!)
 
 
Here is the third in our series of Puzzles from the IMM series.  Presented as a pdf file this puzzle can be downloaded by newsletter readers and copied for use in their classroom.
 
This week's puzzle is "Egyptian Lengths" from module B03: Length.  It is based on students estimating or measuring lengths.
 
To download the puzzle use the link below:
(It may work directly to left click on the link or you may need to right click and choose "Save Target As".)
 
 
 
5.    Upcoming PD from the Associations
 
 
Notice of Professional Development from the Associations.
 
MAWA:   
2004 Annual Conference: Friday 20th to Sunday 22nd August: Bunbury
 
QAMT:
Groundworks One Day Conference: Saturday 7th August: QUT Kelvin Grove Campus
Forum: ICT and Mathematics: Saturday 21st August: Venue to be announced
QAMT Conference: Thursday 23rd to Saturday 25th September: Chancellor State College, Sippy Downs
 
MASA:
Mini Conference at Scotch College: August
 
MAV:   
Middle Years Maths Day: Friday 3rd September: Croydon 
2004 MAV Annual Conference: Thursday 2 and Friday 3 December: Monash University, Clayton Campus
 
MANSW:   
2004 Annual Conference: 26th to 28th of September: Mudgee
 

 

Internet Assignments
 
Part of our Subscription Service for 2004 are ten Internet Assignments involving students completing mathematical tasks using information from the Internet. See this page: http://www.otrnet.com.au/subsfolder/CatC_information.html
for more information.

 
If you have completed our free registration you can join the growing group of people and schools who order online and now receive 10% discount off normal prices!
 

OTRNet thanks you for your time in looking at our newsletter.
 
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Mark R. O'Brien
Online Teachers Resource Network
C.O. Post Office
Wooroloo  WA   6558
Phone: 0427 957 313  or  (08) 9573 1367
Fax: (08) 9238 1334